the locus of points in a plane

The Locus Of Points In A Plane

Answers

Answer 1

We're talking about a set of points already in a plane, so consider the x-y plane, in which the equations y = 5 and y = -3 correspond to vertical lines. All the points equidistant from both lines would fall on the vertical line right in the middle of y = 5 and y = -3, which we can get by taking the average:

(5 + (-3)) / 2 = 2 / 2 = 1

So this locus is the single vertical line y = 1.

Answer 2

Answer:

y = 1.

Step-by-step explanation:

We're talking about a set of points already in a plane, so consider the x-y plane, in which the equations y = 5 and y = -3 correspond to vertical lines. All the points equidistant from both lines would fall on the vertical line right in the middle of y = 5 and y = -3, which we can get by taking the average:

(5 + (-3)) / 2 = 2 / 2 = 1

So this locus is the single vertical line y = 1.


Related Questions

(4) please try and find the area of a triangle thank you

Answers

Answer:

The answer is 6m

Step-by-step explanation:

This is because the formulae used to find the area of a triangle is ½ multiplied by the base multiplied by the height.

Hope it helps:)

Can any one answer everything

Answers

I don’t really understand for question 11 to 13

PLEAS HELP ILL GIVE BRAINLIEST
SHOW WORK OR NO BRAINLIEST

Answers

Answer:

Marta spent a total of $34.29

Step-by-step explanation:

Since she bought 3 towels for $8.50 each you would do 3 times $8.50 to get $25.50 for the towels and since she bought 5 washcloths for $1.25 each you would do 5 times $1.25 to get $6.25 then you would add the totals to get $31.75. Then you would find out the tax by finding out what 8% of $31.75 is which would be 2.54. So you would add $2.54 to $31.75 to get $34.29. So the total amount of money that Marta spent is $34.29

3 times $8.50 = $25.50

5 times $1.25 = $6.25

$25.50 + $6.25 = $31.75

How to Divide $120in the ratio 3:5

Answers

120 ÷ ( 3 + 5 ) = 120 ÷ 8 = 15

15 × 3 = 45

15 × 5 = 75

_________________________________

Answer:

15:75

Step-by-step explanation:

120 = 3x plus 5x

120 = 8x

120/8 = x

x = 15

3*15 = 45 and 5*15 = 75

What is the equation for the nth term of geometric sequence 32,48,72

Answers

Answer:

              [tex]\bold{a_n =32\left(\frac32\right)^{n-1}}[/tex]

Step-by-step explanation:

[tex]a_1=32\\a_2=48\\a_3=72\\\\\dfrac{a_2}{a_1}=\dfrac{48}{32}=\dfrac32\\\\ \dfrac{a_3}{a_2}=\dfrac{72}{48}=\dfrac32\\\\\\\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac32=r[/tex]

Therefore the formula:

                                     [tex]a_n=a_1\cdot q^{n-1}\\\\a_n =32\left(\frac32\right)^{n-1}[/tex]

Thirty percent of the cost of a dress is the same as
one-half the cost of the dress decreased by $8.
What is the cost of the dress?

Answers

hi thats confusingAnswer:

Step-by-step explanation:

h

Find the 88 term of the arithmetic sequence 4,-1,-6

Answers

Answer:

an = a1 + d(n - 1)

a88 = 4 + (-5)(88 - 1)

a88 = 4 + (-5)(87)

a88 = 4 - 435

a88 = -431

So, the 88th term of the arithmetic sequence is -431.

Solve the system using substitution. y = 2x + 10
y = x + 8
A. ( 6, 14)
b. ( 2, 14)
C. (2, 10)
D. (-2,6)

Answers

Answer:

Hi! The answer to your question is D. (-2, 6)

Step-by-step explanation:

☆*: .。..。.:*☆☆*:☆*: .。..。.:*☆☆*: .。..。.:*☆ .。..。.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

The answer is D. (-2,6)

Tina has 3 quarters, 1 dime, and 6 nickels in her pocket.
Find the probability of randomly drawing a nickel?

Answers

Answer:

60%

Step-by-step explanation:

Tina has 3 quarters, 1 dime, and 6 nickels, or 10 coins in total.

They are asking for the probability of drawing a nickel (6 in total). Divide 6 from the total amount of coins:

6/10 = 0.60, or 60%

Tina has a 60% chance of drawing a nickel from her pocket.

~

100 POINTS! :)
Please answer the question correctly WITH WORK...otherwise I will report! :)

Joshua has a ladder that is 12.8 ft long. He wants to lean the ladder against a verticle wall so that the top of the ladder is 11 ft above ground. For safety reasons, he wants the angle of the ladder no greater than 75 degrees. Will the ladder be safe at this height? Show your work.

Answers

Answer: So we'll use trig to solve this because it's a right triangle. The hypotenuse is the ladder (h) and the two smaller sides are the ground and the vertical wall (w).

That angle ladder makes with the ground = €

SOH: sin € = opposite/hypotenuse

No the ladder won't be safe!!!

Now let's make it safe:

The ladder's length (w) is constant, so stays 12

So now let's ask in an inequality what height will be safe (75° or less)

what does that mean?? well as long as you put the ladder against the wall so that the height from ground to top of the ladder is < 11.6 ft!!

Hope that helps! :-D

Step-by-step explanation:

Determine whether the pair of lines is parallel perpendicular or neither 26x+2y=4 and -3x+39y=-15

Answers

Because they are crossing, these are perpendicular lines for both

PLEASE HELP WILL GOVE BRAINLY

Answers

Answer:

25.3

Step-by-step explanation:

if its just reflections, i dont think the length has changed at all,,

Please help me out with this problem

Answers

Answer:

A 4/3

Step-by-step explanation:

to long to explain but its right

(lg 5)²+(lg 2)(lg 50)
need solution....​

Answers

-125g ^2 that’s what I got solving for it

hiii please help i’ll give brainliest:)

Answers

Answer:

Row ships

Step-by-step explanation:

They helped because a lot of travel took place on the Mediterranean Sea which was a massive body of water that led to the coasts of trading locations.

the answer to that would be the row ships

plz mark brainliest!

The sum of the measures of two angles is 90° one angle has a measure of 32.8° the other angle is represented by X what is the measure of the second angle

Answers

Answer:

x = 57.2

Step-by-step explanation:

Equation:

32.8 + x = 90

x = 90 - 32.8

x = 57.2

What is the slope of the line ?

Answers

Answer:

The slope or gradient of a line is a number that describes both the direction and the steepness of the line.

Step-by-step explanation:

Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line.

Using the given degree measure give two coterminal angle (one negative and one positive) and the reference angle. - 40°​

Answers

Answer: C 2021 edg

Step-by-step explanation:

Plz I need this super fast it is due in 30 min! Plz help

Answers

Answer:

4ft 1

Step-by-step explanation:

Answer:

50 inches=4.1 inches

so answer is option B

Find the length of the third side. If necessary round the nearest tenth

Answers

Answer: 16.5

formula:

c^2 = a^2 + b^2

(a and b are the lines that form a right angle and c is the line that doesn’t)

a = 16

c = 23

Answer:

16.5

Step-by-step explanation:

a² + b² = c²

x² + 16² = 23²

x² + 256 = 529

x² = 273

x = √(273)

x = 16.52271164...

x ≈ 16.5

The perimeter of an equilateral triangle is 60 centimeters. The length of the altitude of the triangle is XV3 centimeters. What is the value of x? ​

Answers

9514 1404 393

Answer:

  x = 10

Step-by-step explanation:

Half of the triangle makes a 30°-60°-90° "special" triangle. We know the side ratios of that are 1 : √3 : 2. The long side is 1/3 of the perimeter, so is 60/3 = 20 = 10×2. Then the altitude is 10 times the middle ratio value: 10√3 ≈ 17.32.

Comparing this with x√3, we find x = 10.

Answer:

X = 25

Step-by-step explanation:

To solve this question, we'll first of all find determine the side length of the triangle from the perimeter.

Perimeter of an equilaterial triangle = 3 * s

S = side length

Perimeter = 150cm

150 = 3s

S = 150 / 3

S = 50cm

The side lengths are 50cm each since they are all equal.

To find x,

We have to divide the triangle equally into two different part.

Check the first attachment for better illustration on how the equilaterial triangle is.

Check the second attachment for better illustration on the triangle when its divided into a right angle triangle.

From the right angle triangle, we can use pythagorean theorem to solve for x

a² = b² + c²

a = 50cm

b = 25cm

c = x√(3)

50² = [x√(3)]² + 25²

2500 = x² * 3 + 625

2500 - 625 = 3x²

1875 = 3x²

X² = 1875 / 3

X² = 625

X = √(625)

X = 25

HOPE THIS HELPS

if so please give me a brainlist

Is (5, 1) a solution to this system of inequalities?

x + 7y ≥ 12
2x + 9y ≥ 20

Answers

No
5 + 7(1) ≥ 12
12 ≥ 12

2(5) + 9(1) ≥ 20
19 ≥ 20

Which one is the answer, you may say the color if you want

Answers

greater than or equal to

5
?
Find the arc length of the partial circle.
Either enter an exact answer in terms of Tor use 3.14 for and enter your answer as
decimal.
units

Answers

Answer:

its 7.5 pi

Step-by-step explanation:

The length of the arc of the particle circle is equal to  23.55 units

What is the area and circumference of a circle?

The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.

Given here the radius of the circle as 5 units thus the length of the arc which makes an angle of π-π/2=3π/2 is angle subtended at the centre times the radius of the circle

Arc length = 5×3π/2

                  = 15π/2

                  = 15×3.14 /2

                  = 23.55 units

Hence The length of the arc of the particle circle is equal to  23.55 units

Learn more about circumference of the circle here:

https://brainly.com/question/14200825

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City officials are putting a garden around a memorial site as shown below.





Part A Determine the area of the memorial site in terms of x.

Write your answer as a trinomial and include units. Show or explain your work.


Part B The outside edges of the garden form a rectangle whose length and

width are proportional to the sides of the memorial site, increased

by a scale factor of 3. Determine the lengths of the outside edges of

the garden. Write your answer in simplest form.


Part C Determine the area of the garden in terms of x. Write your answer in

simplest form. Show or explain your work

Answers

Answer:

I only remember how to do part A, so sorry for using up an answer.

Step-by-step explanation:

Part A:

[tex](3x+5)(4x+7)\\ 12x^2+21x+20x+35\\ 12x^2+41x+35 ft^2[/tex]

(I also don't know if this is the form you need it in, but I hope I could help a little.)

The area of the memorial site is 12x² + 41x + 35 square units,  the lengths of the outside edges of the garden are 12x + 21 units and 9x + 15 units and 108x²+369x+315 is the area of the garden in terms of x.

What is Area of Rectangle?

The area of Rectangle is length times of width.

(a) The area of the memorial site is given by multiplying the length and width:

Area = (4x + 7)(3x + 5)

Expanding this expression using the distributive property, we get:

Area = 12x²+ 41x + 35

Therefore, the area of the memorial site is 12x² + 41x + 35 square units.

(b) The length and width of the garden are proportional to the length and width of the memorial site, increased by a scale factor of 3.

Length of garden = 3(4x + 7) = 12x + 21

Width of garden = 3(3x + 5) = 9x + 15

Therefore, the lengths of the outside edges of the garden are 12x + 21 units and 9x + 15 units.

(c)  The area of the garden is given by multiplying the length and width:

Area of garden = (12x + 21)(9x + 15)

=108x²+180x+189x+315

=108x²+369x+315

Hence,  the area of the memorial site is 12x² + 41x + 35 square units,  the lengths of the outside edges of the garden are 12x + 21 units and 9x + 15 units and 108x²+369x+315 is the area of the garden in terms of x.

To learn more on Area of Rectangle click:

https://brainly.com/question/20693059

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50 points if correct and a brainly

A sequence can be generated by using an=an−1+3, where a1=4 and n is a whole number greater than 1. What are the first 5 terms in the sequence?

4, 12, 36, 108, 324

3, 12, 48, 192, 768

4, 7, 10, 13, 16

3, 7, 11, 15, 19

Answers

Answer:

4,7,10,13,16

Step-by-step explanation:

I sub

30 is what percent of 40?

Answers

Answer:

it is 75% sheeeesh. jdjdjd

Step-by-step explanation:

3/4

Answer:

75%

Step-by-step explanation:

Let the answer be 'x'

40 × x/100 =30

40x/100 = 30

40x= 3000

x =3000÷40

x= 75

thus 30 is 75% of 40

What is the slope and y-intercept of the following equation: 5x - 3y = 36

Answers

Answer:

y=5/3x-12

slope= 5/3

y-intercept= -12

Step-by-step explanation:

i hope this helps :)


how many solutions does 3(4x - 2) = -12x - 6 have

Answers

3(4x-2) = -12x-6
12x-6 = -12x-6
24x = 0
x = 0
So there’s only One solution

PLEASE HELPP I AM FAILING AND I NEED THIS ASAP!!! TYSM

Use the function f(x) = 2 sin x-1 to identify the following.

A. amplitude =
B. period =
C. midline=​

Answers

Answer:

See below for answers

Step-by-step explanation:

Do you mean [tex]f(x)=2sin(x-1)[/tex] or [tex]f(x)=2sin(x) -1[/tex]?

Use the formula [tex]f(x)=asin(bx+c)+d[/tex] where [tex]|a|[/tex] is the amplitude, [tex]-\frac{c}{b}[/tex] is the phase shift, [tex]d[/tex] is the vertical shift, and the period is [tex]\frac{2\pi}{|b|}[/tex].

Assuming your first case is true, the amplitude would be [tex]|a|=|2|=2[/tex], your period is [tex]\frac{2\pi}{|1|}=2\pi[/tex], and your midline/vertical shift is [tex]d=0[/tex].

Assuming your second case is true, everything but the vertical shift stays the same. It would be [tex]d=-1[/tex] in this case.

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